A mathematician believes that describing the speed of Mercury with equations amounts to science.
Bill GaedeTag: science mathematics gaede mathematical-physics mathematician
A mathematician says that an electromagnetic wave travels from Andromeda to your eye and that it also extends from Andromeda to your eye.
Bill GaedeTag: quantum-mechanics mathematics mathematicians gaede general-relativity mathematical-physics mathematician electromagnetic-wave wave-theory
A mathematician makes plans to travel backwards in time through a wormhole to a parallel universe when he can't even make it to Mars with the fastest rocket on hand today.
Bill GaedeTag: time-travel mathematicians gaede general-relativity mathematician black-hole parallel-universe time-dilation wormhole
It might seem that the empirical philosopher is the slave of his material, but that the pure mathematician, like the musician, is a free creator of his world of ordered beauty.
Bertrand RussellTag: music philosophy philosopher empirical musician mathematician pure-mathematics
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What Pascal overlooked was the hair-raising possibility that God might out-Luther Luther. A special area in hell might be reserved for those who go to mass. Or God might punish those whose faith is prompted by prudence. Perhaps God prefers the abstinent to those who whore around with some denomination he despises. Perhaps he reserves special rewards for those who deny themselves the comfort of belief. Perhaps the intellectual ascetic will win all while those who compromised their intellectual integrity lose everything.
There are many other possibilities. There might be many gods, including one who favors people like Pascal; but the other gods might overpower or outvote him, à la Homer. Nietzsche might well have applied to Pascal his cutting remark about Kant: when he wagered on God, the great mathematician 'became an idiot.
Tag: philosophy nietzsche homer pascal speculation kant pascal-s-wager blaise-pascal mathematician friedrich-nietzsche immanuel-kant
I entered Princeton University as a graduate student in 1959, when the Department of Mathematics was housed in the old Fine Hall. This legendary facility was marvellous in stimulating interaction among the graduate students and between the graduate students and the faculty. The faculty offered few formal courses, and essentially none of them were at the beginning graduate level. Instead the students were expected to learn the necessary background material by reading books and papers and by organising seminars among themselves. It was a stimulating environment but not an easy one for a student like me, who had come with only a spotty background. Fortunately I had an excellent group of classmates, and in retrospect I think the "Princeton method" of that period was quite effective.
Phillip A. GriffithsTag: math biography mathematics legendary mathematician institute-for-advanced-study graduate-student princeton princeton-method princeton-university
Read Euler, read Euler, he is the master of us all.
Pierre-Simon LaplaceTag: science admiration scientists praise compliment master mathematician euler leonhard-euler
It is true that a mathematician who is not somewhat of a poet, will never be a perfect mathematician.
Karl WeierstrassTag: science poetry poet perfection mathematician father-of-modern-analysis
It is well known that geometry presupposes not only the concept of space but also the first fundamental notions for constructions in space as given in advance. It only gives nominal definitions for them, while the essential means of determining them appear in the form of axioms. The relationship of these presumptions is left in the dark; one sees neither whether and in how far their connection is necessary, nor a priori whether it is possible. From Euclid to Legendre, to name the most renowned of modern writers on geometry, this darkness has been lifted neither by the mathematicians nor the philosophers who have laboured upon it.
Bernhard RiemannTag: science relationships darkness definitions philosophers space mathematics geometry euclid axioms scientist mathematician adrian-marie-legendre legendre renown
Et peut-être la posterité me saura gré de lui avoir fait connaître que les Anciens n’ont pas tout su. (And perhaps, posterity will thank me for having shown that the ancients did not know everything.)
Pierre de FermatTag: humor science knowledge funny posterity scientist ancients mathematician thank fermat-s-theorem
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